We consider a linear Schrödinger equation with a small nonlinear perturbation in R3. Assume that the linear Hamiltonian has exactly two bound states and its eigenvalues satisfy some resonance condition. We prove that if the initial data is near a nonlinear ground state, then the solution approaches to certain nonlinear ground state as the time tends to infinity. Furthermore, the difference betw...

In this paper, we introduce two measurements for computing the diversity and spread of non-dominated solutions in the objective space. These measurements compute the angular positions of solutions in the objective space and are able to find a percentage which indicates the distribution of solutions in the space. Also, because we are able to compute the positions of the solutions, the spread of ...

This paper presents a new algorithm for identifying all the supported nondominated vectors (or outcomes) in the objective space, as well as the corresponding efficient solutions in the decision space, for the multi-objective integer network flow problem. Identifying the set of supported non-dominated vectors is of the utmost importance for obtaining a first approximation of the whole set of non...

The impact of a kination-dominated (KD) phase generated by a quintessential exponential model on the thermal abundance of Supersymmetric (SUSY) extremely Weekly Interacting Massive Particles (e-WIMPs) is investigated. For values of the quintessential energy-density parameter at the eve of nucleosynthesis close to its upper bound, we find that (i) the gravitino (G̃) constraint is totally evaded f...

in this paper, a multi-objective reconfiguration problem has been solved simultaneously by a modified ant colony optimization algorithm. two objective functions, real power loss and energy not supplied index (ens), were utilized. multi-objective modified ant colony optimization algorithm has been generated by adding non-dominated sorting technique and changing the pheromone updating rule of ori...

Financial system of B&H is “bank dominated”, which means that banks (credit institution) is dominated financial institutions in the financial system. Banks have major role in financial intermediation process between deficit and surplus money unites. Having on mind specific features of financial systems in Bosnia and Herzegovina it’s important to analyses characteristics each segment of fi...